Elastic precession of electronic spin states in interacting integer quantum Hall edge channels

Abstract

We consider the effect of Coulomb interactions in the propagation of electrons, prepared in arbitrary spin states, on chiral edge channels in the integer quantum Hall regime. Electrons are injected and detected at the same energy at different locations of the Hall bar, which is modeled as a chiral Tomonaga-Luttinger liquid. The current is computed perturbatively in the tunneling amplitudes, within a non-crossing approximation using exact solutions of the interacting Green's functions. In the case of different channel velocities, the spin precession effect is evaluated, and the role of interaction parameters and wavevectors is discussed.

arXiv comment5 pages, 3 figures

References in corpus (28)

• Single-shot read-out of an individual electron spin in a quantum dot
• Driven coherent oscillations of a single electron spin in a quantum dot
• Quantum Transport in Semiconductor Nanostructures
• An Electronic Mach-Zehnder Interferometer
• An On-Demand Coherent Single Electron Source
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Electrons surfing on a sound wave as a platform for quantum optics with flying electrons
• On-demand single-electron transfer between distant quantum dots
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Non-Equilibrium Edge Channel Spectroscopy in the Integer Quantum Hall Regime
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Mesoscopic Stern-Gerlach device to polarize spin currents
• Tuning Energy Relaxation along Quantum Hall Channels
• Electron quantum optics in quantum Hall edge channels
• Plasmon scattering approach to energy exchange and high frequency noise in nu=2 quantum Hall edge channels
• Generation of energy selective excitations in quantum Hall edge states
• Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions
• Controlled coupling of spin-resolved quantum Hall edge states
• Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
• Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
• Suppression of compressible edge channels and spatial spin polarization in the integer quantum Hall regime
• Nonequilibrium electron spectroscopy of Luttinger liquids
• Plasmon Modes and Correlation Functions in Quantum Wires and Hall Bars
• Spectral distribution and wavefunction of electrons emitted from a single particle source in the quantum Hall regime
• Probing electron-electron interaction in quantum Hall systems with scanning tunneling spectroscopy
• Proposal for a Datta-Das transistor in the quantum Hall regime
• Electronic spin precession and interferometry from spin-orbital entanglement in a double quantum dot
• Spin-charge separation in Quantum Hall Liquids